Home / 106,458-164,812

Finding the Third Proportional to 106,458 and 164,812

Calculator

Solution

The third proportional to 106,458 and 164,812 is: 255,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,458 : 164,812 = 164,812 : x
  2. Step 2: Convert to fraction form
    106,458/164,812 = 164,812/x
  3. Step 3: Cross multiply
    106,458x = 164,812 × 164,812
  4. Step 4: Simplify right side
    106,458x = 27,162,995,344
  5. Step 5: Solve for x
    x = 27,162,995,344/106,458
  6. Step 6: Final answer
    x = 255,152.22

Related Problems

Find third proportional to 53,229 and 82,406
Half scale
Find third proportional to 212,916 and 329,624
Double scale
Find third proportional to 106,460 and 164,815
Similar ratio
Find third proportional to 159,687 and 247,218
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.